ABCD is a parallelogram in which diagonal intersect each other at right angles if the length of the diagonal is 6 cm and 8 cm find the length of side of the parallelogram
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IshitaJaiswal:
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•Here is your answer....,
•ABCD is a parallelogram whose diagonals intersect each other at O with 90°.
so it's a rhombus as diagonals of rhombus interest each other at right angles.
•diagonal1 (AC) = 6cm
•diagonal 2(BD) = 8cm
•OD = OB = 3cm each
•OA = OC = 4cm each
•Let, us take triangle AOB
it is a right angled triangle
=> (OA)² + (OB)² = (AB)²
=> (4)² + (3)² = (AB)²
=> 16 + 9 = (AB)²
=> 25 = (AB)²
=> = AB
=> 5 = AB
•So, AB = 5cm
AB = BC = CD = AD (all sides of rhombus are equal)
•Each side of the parallelogram ABCD is 5cm.
#BeBrainly...!
•By Ishita...
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